Question

An L-C-R circuit contains \( R = 50 \, \Omega \), \( L = 1 \, \text{mH} \), and \( C = 0.1 \, \mu\text{F} \). The impedance of the circuit will be minimum for a frequency of?

• A. \( 10^6 \, \text{Hz} \)
• B. \( 2 \times 10^5 \, \text{Hz} \)
• C. \( 2 \times 10^6 \, \text{Hz} \)
• D. \( 10^5 \, \text{Hz} \)

Hint:

At the resonant frequency, the impedance of an L-C-R circuit is minimized.

Answer 1

The Correct Option is B

The impedance of an L-C-R circuit is minimized when the resonance condition is met. The resonant frequency is given by the formula: \[ f_0 = \frac{1}{2\pi \sqrt{LC}} \] Substituting the given values of \( L \) and \( C \), the resonant frequency can be calculated.